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Kay [80]
3 years ago
8

A student spends 17/35 of his pocket money on transport and fruits. He spends 5/6 of the remainder on sweets. What fraction of h

is pocket money does he spend on sweets?
Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer: 3/7 is the pocket money he spends on sweets

Step-by-step explanation:

Let the amount student spends be x

He spends 17/35x on transport and fruits

He spends 5/6 (x - 17/35x) on sweets

5/6 * (x -17/35x)

5/6 * 18/35x

= 3/7x

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faltersainse [42]

Answer: The range of the set of numbers is 46 and the standard deviation is 14.44 .

Explanation:

In is given that the observations are 65, 59, 43, 43, 40, 63, 71, 77, 31, 64.

From given data it is noticed that the highest observation is 77 and the lowest observation is 31.

Range = Highest observation - Lowest observation

Range = 77 - 31 = 46

To find the standard deviation, first we have to find the mean.

\text{Mean}={\frac{\text{Sum of observation}}{\text{Total number of observations}}

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\text{Mean}=\frac{556}{10}=55.6

Formula fr standard deviation is,

\sigma =\sqrt{\frac{\sum (x-mean)^2}{n}}

To find the above values form a table as shown below.

\sigma =\sqrt{\frac{2086.4}{10}}

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\sigma =14.44

Therefore, the range of the set of numbers is 46 and the standard deviation is 14.44 .

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